Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic −p2
نویسندگان
چکیده
منابع مشابه
Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic −p2
A regular map M is a cellular decomposition of a surface such that its automorphism group Aut(M) acts transitively on the flags of M. It can be shown that if a Sylow subgroup P ≤ Aut(M) has order coprime to the Euler characteristic of the supporting surface, then P is cyclic or dihedral. This observation motivates the topic of the current paper, where we study regular maps whose automorphism gr...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2010.07.047